Zhanli Li
College of Computer Science and Technology, Xi�an University of Science and Technology, Xi�an, 710054, China
Zhang Yongjun
College of Computer Science and Technology, Xi�an University of Science and Technology, Xi�an, 710054, China
ABSTRACT
Given a polyhedron mesh, the methods and theories to problems related to normal controlled surface fitting are still not enough and suffer from similar defects. We propose a new technique for fitting surfaces from 3D data points and their associated normal vectors. Given vertices of surface and their normal vectors constraints, this study presents some schemes to construct G2 continuous Hermite interpolation surfaces. Firstly, combined three tangent vector equation, methods to calculate tangent vector are presented. Secondly, due to the length of two endpoint tangent vectors in Hermite interpolation directly affects the shape of curve, even may produce sharp points and focal points, this study adjusted the curve surface shape by controlling the input coefficient and obtained the scope of coefficient by experiment. This study also presents a method to reconstruct some common surfaces accurately, such as spheres, columns and cones. In the end the error grid was analyzed between the experimental results and the original surfaces.
PDF References Citation
Received: June 03, 2013;
Accepted: October 06, 2013;
Published: November 13, 2013
How to cite this article
Zhanli Li and Zhang Yongjun, 2013. Hermite Surface Fitting Base on Normal Vector Constrained. Journal of Applied Sciences, 13: 5398-5403.
DOI: 10.3923/jas.2013.5398.5403
URL: https://scialert.net/abstract/?doi=jas.2013.5398.5403
DOI: 10.3923/jas.2013.5398.5403
URL: https://scialert.net/abstract/?doi=jas.2013.5398.5403
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